Aldean’s hits include “Big Green Tractor” and “Dirt Road Anthem,” and his chart-topping duet with Kelly Clarkson, “Don’t You Wanna Stay?” (But Aldean may be better known at the moment for being photographed recently mackin’ on a woman who is not his wife, namely “American Idol” ex-contestant Brittany Kerr.)

Lambert, meanwhile, the 28-year-old Texan who’s married to fellow country star Blake Shelton, is best known for her hits “Me and Charlie Talking,” “Bring Me Down,” “Famous in a Small Town,” and “Gunpowder & Lead.”

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Aldean and Lambert would be the first country acts to play at Fenway Park, which has previously played host to Bruce Springsteen, Dave Matthews, Roger Waters, Phish, Jimmy Buffett, and the Rolling Stones.

Not to be outdone, we’re told Gillette will soon announce dates for Kenny Chesney (with Eric Church) shows at the stadium, as well a possible Taylor Swift tour stop at the 53,000-seat venue in Foxborough.

Conspicuously absent is any mention of the Stones, who are celebrating their 50th anniversary, and this week announced four upcoming shows – two at London’s O2 Arena in November and two at Newark’s Prudential Center in December. (Old friend Rich Krezwick, former president of the TD Garden, is now head of Devils Arena Entertainment, the company that manages the Prudential Center.)

Is it possible that the Rolling Stones would add a date or two at Fenway next summer? Anything’s possible, we suppose. You’ll recall that Mick Jagger, Keith Richards, Ron Wood, and Charlie Watts set up shop in centerfield in 2005, and left the sod in such terrible shape it had to be completely replaced.

“You know I wouldn’t be surprised,” said the guitarist. “Nobody’s actually given a heads up on that, but I don’t think that this band is gonna wind up all of this for four shows. I think they want to do something for the end of the year, and I think next year probably looks like it’s on.”

One interesting wrinkle, the four Stones shows that have been announced are being promoted by Virgin Live, a new organization led by British business magnate Richard Branson, who was sitting in Pats owner Robert Kraft’s box at Gillette a few weeks ago.

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